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Finding the Fourth Proportional to 2,194.25, 3,027.56 and 1,309.88

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Solution

The fourth proportional to 2,194.25, 3,027.56 and 1,309.88 is: 1,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.25 : 3,027.56 = 1,309.88 : x
  2. Step 2: Convert to fraction form
    2,194.25/3,027.56 = 1,309.88/x
  3. Step 3: Cross multiply
    2,194.25x = 3,027.56 × 1,309.88
  4. Step 4: Simplify right side
    2,194.25x = 3,965,740.29
  5. Step 5: Solve for x
    x = 3,965,740.29/2,194.25
  6. Step 6: Final answer
    x = 1,807.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.